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arXiv:quant-ph/0209096 · Physical Review A

Quantum logic between atoms inside a high- Q optical cavity

Li You, X. X. Yi, X. H. Su

Published Mar 25, 2003• 66 citations
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Abstract

We propose a protocol for conditional quantum logic between two four-state atoms inside a high-$Q$ optical cavity. The process detailed in this paper utilizes a direct four-photon two-atom resonant process and has the added advantage of commonly addressing the two atoms when they are inside the high-$Q$ optical cavity.

DOI
10.1103/physreva.67.032308

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We propose a protocol for conditional quantum logic between two four-state atoms inside a high-QQQ optical cavity. The process detailed in this paper utilizes a direct four-photon two-atom resonant process and has the added advantage of commonly addressing the two atoms when they are inside the high-QQQ optical cavity.
The principle goal of our program is the demonstration of scalable quantum logic between qubits encoded in the internal states of neutral atoms sharing the quantum field of an optical cavity. This requires successful integration of two leading quantum information technologies atom-based quantum memories and cavity QED-based entanglement generation and manipulation. We have developed methods for trapping atoms inside high-finesse optical resonators for scalable quantum logic. Our configuration employs infrared (CO2) laser traps for individual atoms that will permit us to store many individually addressable atoms and to manipulate these atoms in arbitrary combinations using the quantum field of the optical cavity. Importantly, the use of infrared trapping lasers virtually eliminates decoherence due to atomic spontaneous emission, which hinders many AMO-based systems.
We present a scheme to generate entangled state of two multilevel atoms in a high-Q optical cavity. In the protocol, the selective atom-field interaction is highly controlled, which can yield a resonant interaction inside one selected atom-field subspace and leave the others in a highly dispersive regime. The atomic spontaneous emission is efficiently suppressed via the large atom-field detuning. Simultaneously, the proposal only requires commonly addressing on atoms inside the cavity, which reduces the difficulties of experiment.
We propose two protocols to encode a logical qubit into physical qubits relying on common types of qubit-qubit interactions in as simple forms as possible. We comment on its experimental implementation in several quantum computing architectures, e.g., with trapped atomic ion qubits, atomic qubits inside a high-QQQ optical cavity, solid-state Josephson junction qubits, and Bose-Einstein condensed atoms.
We propose a scheme for realizing a two-qubit quantum phase gate between atoms inside a high-QQQ optical cavity. In the scheme, the dispersive interaction between atoms and the cavity field induces photon-number Stark shift, which can yield a resonant interaction inside one selected atom-field subspace and leave the others in a highly dispersive regime. Due to the selective atom-cavity interaction, (1) the scheme only requires commonly addressing the atoms inside the optical cavity during the gate operation, and (2) it can be directly used to implement an NNN-qubit conditional phase gate. These properties can significantly reduce the number of operations for implementing quantum computation and quantum algorithms.